The number 4264
4264 is a composite number with 16 divisors. Its prime factorisation is × 13 × 41. Divisors (16): 1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4264 is composite. Its prime factorisation is
- 3
The divisors add up to 8820; without 4264 itself that is 4556, so 4264 is abundant (4556 is more than 4264). Euler's totient φ(4264) = 1920 numbers up to 4264 share no factor with it.
- 4
The digits of 4264 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 33 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4264 = 2^{3} \times 13 \times 41 \]4264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 8820 |
| Euler totient φ(n) | 1920 |
| Square | 18181696 |
| Cube | 77526751744 |
| Square root | 65.299311 (= 2√1066) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 33 |
| Scientific notation | 4.264 × |
4264 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and sixty-four |
| Binary (base 2) | 1000010101000 |
| Octal (base 8) | 10250 |
| Hexadecimal (base 16) | 10A8 |
| Base 3 | 12211221 |
| As time | 4264 seconds = 1 h 11 min 4 s |
Is 4264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4264 ÷ 2 = 2132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4264 ÷ 4 = 1066) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (4264 ÷ 8 = 533) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4264 a prime number?
No. 4264 = × 13 × 41, so it is divisible by 2.
What are the factors of 4264?
1, 2, 4, 8, 13, 26, 41, 52, 82, 104, 164, 328, 533, 1066, 2132, 4264.
What is 4264 in binary?
1000010101000 (hexadecimal 10A8, octal 10250).
What is the square root of 4264?
About 65.2993, exactly 2√1066.
Is 4264 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4264?
It is a composite number with 16 divisors.